Geometry

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Two supplementary angles are in the ratio 7:11. Find the measure of the smaller angle.

  • Geometry -

    Two Angles are Supplementary if they add up to 180 °

    A = smaller angle

    B = larger angle


    A / B = 7 / 11 Multiply both sides with 11

    11 A / B = 7 Multiply both sides with B

    11 A = 7 B Divide both sides with 11

    A = ( 7 / 11 ) B


    A + B = 180 °


    ( 7 / 11 ) B + B = 180 °

    ( 7 / 11 ) B + ( 11 / 11 ) B = 180°

    ( 18 / 11 ) B = 180 °

    18 B = 180 ° * 11 Divide both sides with 18

    18 B / 18 = 180 ° / 18 * 11

    B = 10 ° * 11

    B = 110 °


    A = ( 7 / 11 ) B

    A = ( 7 / 11 ) * 110

    A = 770 / 11

    A = 70 °


    The smaller angle = 70 °

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